What is the measure of the central angle of a circle with radius 15 ft that intercepts a 10 ft arc?
Use 3.14 for π .
Round the answer to the hundredths place.
The ENTIRE circle's circumference is 2piR = 30 pi
the FRACTION of 360 degrees that this 10 feet encompasses is
10/(30pi) x 360 = 120/pi = 120/3.14 =38.22 degrees
(or in Radians 10/(30pi) x 2pi = 20/30 R = .67 R )